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Finding the Fourth Proportional to 6,400.08, 8,832.60 and 3,882.24

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Solution

The fourth proportional to 6,400.08, 8,832.60 and 3,882.24 is: 5,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.08 : 8,832.60 = 3,882.24 : x
  2. Step 2: Convert to fraction form
    6,400.08/8,832.60 = 3,882.24/x
  3. Step 3: Cross multiply
    6,400.08x = 8,832.60 × 3,882.24
  4. Step 4: Simplify right side
    6,400.08x = 34,290,273.02
  5. Step 5: Solve for x
    x = 34,290,273.02/6,400.08
  6. Step 6: Final answer
    x = 5,357.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.